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2002378155726 = 2313221120834493
BaseRepresentation
bin11101001000110111000…
…010011110011011001110
321002102111011202200022210
4131020313002132123032
5230301332301440401
64131514013051250
7264444540331464
oct35106702363316
97072434680283
102002378155726
117022272a3443
122840a8486b26
13116a92172300
146ccb6664834
1537146b8b4d6
hex1d23709e6ce

2002378155726 has 96 divisors (see below), whose sum is σ = 4360125393792. Its totient is φ = 612765578880.

The previous prime is 2002378155697. The next prime is 2002378155733. The reversal of 2002378155726 is 6275518732002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445663936 + ... + 445668428.

It is an arithmetic number, because the mean of its divisors is an integer number (45417972852).

Almost surely, 22002378155726 is an apocalyptic number.

2002378155726 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002378155726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180062696896).

2002378155726 is an abundant number, since it is smaller than the sum of its proper divisors (2357747238066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002378155726 is a wasteful number, since it uses less digits than its factorization.

2002378155726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 2002378155726 in words is "two trillion, two billion, three hundred seventy-eight million, one hundred fifty-five thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 169 211 338 422 507 633 1014 1266 2083 2743 4166 4493 5486 6249 8229 8986 12498 13479 16458 26958 27079 35659 54158 58409 71318 81237 106977 116818 162474 175227 213954 350454 352027 439513 704054 759317 879026 948023 1056081 1318539 1518634 1896046 2112162 2277951 2637078 2844069 4555902 5688138 5713669 9358919 11427338 12324299 17141007 18717838 24648598 28076757 34282014 36972897 56153514 73945794 74277697 121665947 148555394 160215887 222833091 243331894 320431774 364997841 445666182 480647661 729995682 961295322 1581657311 1974731909 3163314622 3949463818 4744971933 5924195727 9489943866 11848391454 25671514817 51343029634 77014544451 154029088902 333729692621 667459385242 1001189077863 2002378155726